My relatives lived in a food desert, but it was not in a city. They lived in the middle of nowhere. Rural. They were in an actual food desert, they had to drive 1 hour each way once a month to stock up at Costco. But they didn't bitch about how they were in a "food desert".
There are always solutions. They might take extra work...but so what?
Here in California, we have a store called The 99 Cent Only Store, which is a dollar store. A dollar store is where almost everything is a dollar. They HAVE had to raise their prices because of inflation, but so have all other grocery stores. A good dollar store is awesome to save money, if you buy the right stuff. It is awesome. I can buy blackberries there for $1, while at a regular supermarket they charge $3 or more. This is a 300% return on one's money to buy it at the dollar store. I can go into a dollar store and fill 3 grocery bags full of food that would only be half of one bag at a regular supermarket.
Mine has all kinds of other cool stuff, too. Buy a can opener for $1, rather than $5 or $8 at a supermarket - that is a 500% to 800% return on your money right there. Wouldn't you like to get 500-800% return on your money in the stock market? That's exactly what it is, exactly the same. Except if you sell your stocks, you have to pay taxes on them, but when you save money, you pay no taxes on saved money.